| Base | Representation |
|---|---|
| bin | 1110011111111… |
| … | …01001001010000 |
| 3 | 22110212002120000 |
| 4 | 13033331021100 |
| 5 | 222113414440 |
| 6 | 20022450000 |
| 7 | 3004531233 |
| oct | 717751120 |
| 9 | 273762500 |
| 10 | 121623120 |
| 11 | 62720283 |
| 12 | 34893900 |
| 13 | 1c274958 |
| 14 | 1221d41a |
| 15 | aa26730 |
| hex | 73fd250 |
121623120 has 150 divisors (see below), whose sum is σ = 425520942. Its totient is φ = 32196096.
The previous prime is 121623119. The next prime is 121623133. The reversal of 121623120 is 21326121.
121623120 is a `hidden beast` number, since 1 + 21 + 623 + 1 + 20 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 19289664 + 102333456 = 4392^2 + 10116^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 121623093 and 121623102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 887692 + ... + 887828.
Almost surely, 2121623120 is an apocalyptic number.
121623120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212760471).
121623120 is an abundant number, since it is smaller than the sum of its proper divisors (303897822).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121623120 is an equidigital number, since it uses as much as digits as its factorization.
121623120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 121623120 is about 11028.2872650290. The cubic root of 121623120 is about 495.4563285038.
Adding to 121623120 its reverse (21326121), we get a palindrome (142949241).
It can be divided in two parts, 1216 and 23120, that added together give a square (24336 = 1562).
The spelling of 121623120 in words is "one hundred twenty-one million, six hundred twenty-three thousand, one hundred twenty".
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